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13478049024 = 283119071759
BaseRepresentation
bin11001000110101101…
…01011010100000000
31021210022022211102220
430203112223110000
5210100340032044
610105225211040
7654666345366
oct144326532400
937708284386
1013478049024
1157970097a0
122741930a80
13136a43c64b
1491c049636
1553d3d1019
hex3235ab500

13478049024 has 144 divisors (see below), whose sum is σ = 39197706240. Its totient is φ = 4077434880.

The previous prime is 13478049007. The next prime is 13478049029. The reversal of 13478049024 is 42094087431.

It is a Cunningham number, because it is equal to 1160952-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13478049029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7661457 + ... + 7663215.

Almost surely, 213478049024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13478049024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19598853120).

13478049024 is an abundant number, since it is smaller than the sum of its proper divisors (25719657216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13478049024 is a wasteful number, since it uses less digits than its factorization.

13478049024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 13478049024 in words is "thirteen billion, four hundred seventy-eight million, forty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 907 1056 1408 1759 1814 2112 2721 2816 3518 3628 4224 5277 5442 7036 7256 8448 9977 10554 10884 14072 14512 19349 19954 21108 21768 28144 29024 29931 38698 39908 42216 43536 56288 58047 58048 59862 77396 79816 84432 87072 112576 116094 116096 119724 154792 159632 168864 174144 225152 232188 232192 239448 309584 319264 337728 348288 450304 464376 478896 619168 638528 675456 696576 928752 957792 1238336 1277056 1350912 1595413 1857504 1915584 2476672 2554112 3190826 3715008 3831168 4786239 4953344 6381652 7430016 7662336 9572478 12763304 14860032 17549543 19144956 25526608 35099086 38289912 51053216 52648629 70198172 76579824 102106432 105297258 140396344 153159648 204212864 210594516 280792688 306319296 408425728 421189032 561585376 612638592 842378064 1123170752 1225277184 1684756128 2246341504 3369512256 4492683008 6739024512 13478049024